6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

A) 18	B) 9
C) 20	D) 12

Answer & Explanation Answer: C) 20

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Product of $9 b^{2}, 3 a^{2}$ and 4ab is

A) 108a2b2	B) 108a3b3
C) 108a3b2	D) 108a4b4

Answer & Explanation Answer: B) 108a3b3

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Q:

If $1 / \sqrt (1 + \tan^{2} A) = x$ , then value of x is

A) cosA	B) sinA
C) cosecA	D) secA

Answer & Explanation Answer: A) cosA

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Q:

If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?

A) 1 cm or 7 cm	B) 2 cm or 14 cm
C) 3 cm or 21 cm	D) 4 cm or 28 cm

Answer & Explanation Answer: B) 2 cm or 14 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm	B) 1.5 cm
C) 1 cm	D) 2.5 cm

Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

What is the value of 5/9 + 7/8?

A) 103/72	B) 97/42
C) 12/17	D) 15/13

Answer & Explanation Answer: A) 103/72

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

If 2x + 5 > 2 + 3x and 2x - 3 ≤ 4x - 5, then x can take which of the following values?

A) -2	B) 2
C) -4	D) 4

Answer & Explanation Answer: B) 2

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Q:

If $a^{3} + b^{3} = 19$ and ab = -6 , then what is the value of a + b?

A) 5	B) 7
C) 1	D) -5

Quantitative Aptitude - Arithmetic Ability Questions

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